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3 years ago

Triangle ABC is translated to create triangle DFG as shown in image

Mathematics

1 answer:

aliya0001 [1]3 years ago

5 0

Answer:

x=3 and y=3

Step-by-step explanation:

explanation for x

using distributive property, 3(2x+10) should be 6x + 30 because you need to multiply both inside numbers by the outside number.

Next, you need to isolate the variable so the 12 is suptracted from thirty which leaves you 6x+18 and 12x. Since six is half of twelve, six is half of the other side, and then there is 18 which is the other six, so that means 6x=18, so simplifies, x=3 because 6×3=18

explanation for y

2(2y-3) using the distributive property, should be 4y-6. Take the 12 from 2y+12 and subtract six from it and you get 2y+6 and 4y. So, since 2y plus 6 equals 4y, 2y is half of 4y and then there is a plus six, which equals the other half, so 2y=6, and simplified, y=3

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One car travel 56 miles per hour and another travels 31 miles per hour. If they start from the same place at the same time and t

Vitek1552 [10]

After 3 hours, the faster car will be 75 miles ahead of the slower car.

Step-by-step explanation:

Given,

Speed of first car = 56 miles per hour

Speed of second car = 31 miles per hour

Let,

x be the number of hours.

Distance covered by first car = Speed * time = 56x

Distance covered by second car = 31x

According to given statement;

Difference between distance covered by both cars = 75 miles

Distance of faster car - Distance of slower car = 75 miles

$56x-31x=75\\25x=75$

Dividing both sides by 25

$\frac{25x}{25}=\frac{75}{25}\\x=3$

After 3 hours, the faster car will be 75 miles ahead of the slower car.

Keywords: subtraction, division

Learn more about subtraction at:

#LearnwithBrainly

4 0

4 years ago

CRITICAL THINKING The total area of the polygon is 176 square feet. What is the value of $x$ ?

Katarina [22]

Answer:

x = 6

Step-by-step explanation:

this figure involves two triangle and one rectangle

for area of rectangle= Length * Width = 16 * 8 = 128 feet^2

for area of one triangle = 1/2 * base * height = 1/2 * x *8 = 4x

for two triangles = 8x ft^2 total

whole area = two triangles + one rectangle

176 = 8x + 128

8x =48

x = 6

8 0

3 years ago

An aquarium is leaking water at the rate of three quarts in 4 days.How many quarts are leaked in 1 week?How many days does it ta

Simora [160]

Answer:

$\frac{21}{4}$ quarts

12 days

Step-by-step explanation:

Given that:

Amount of water leaked in 4 days = 3 quarts

To find:

Number of quarts leaked in 1 week?

Number of days taken for the leakage of 9 quarts of water?

Solution:

We can simply use unitary method or the ratio to find the answers of the questions asked in the statement.

As per question statement:

Amount of water leaked in 4 days = 3 quarts

Dividing by 4 on both sides:

Amount of water leaked in 1 day = $\frac{3}{4}$ quarts

Multiplying by 7 on both sides:

Amount of water leaked in 7 days = $\frac{3}{4}\times 7 = \frac{21}{4}$ quarts

Number of days taken for the leakage of 3 quarts = 4 days

Multiplying by 3 on both sides:

Number of days taken for the leakage of 3 $\times$ 3 = 9 quarts = 4 $\times$ 3 = <em>12 days</em>

6 0

3 years ago

What statement makes the open sentence 2.4 = 6x true?

Mandarinka [93]

<span>
multiply each option by 6 and see if it equals 2.4</span>

5 0

3 years ago

Read 2 more answers

Can someone please please help me please

Olenka [21]

I’m not sure, but I think you divide 360 by each one of those angles.

8 0

3 years ago